Question

The toy gun in the figure below consists of a spring with spring constant k. It is loaded with a projectile of mass m and the spring is compressed a distance d. The toy gun is fired horizontally and the bullet travels a total distance L within the toy gun before it is released. 

A) Neglecting all resistive forces, determine the speed of the projectile vo once it exits the toy gun (i.e., express Vo in terms of the known quantities k, m, L, d). 

B) Suppose now that there is an average friction force of magnitude ſ that acts on the projectile as it travels through the toy gun. If the final velocity of the projectile is vī, calculate f (i.e., find an expression for f in terms of k, m, L, d, and vi).

Answer 1

Thifs problem can be easily solved by using the work energy theorem which states that the work done by the All the forces equals the change in Kinetic energy.of the system.

For the detailed solution please find the attached image below